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lim(xto0) ((1-cos2x)(3+cosx))/(xtan4x) i...

`lim_(xto0) ((1-cos2x)(3+cosx))/(xtan4x)` is equal to

Text Solution

Verified by Experts

The correct Answer is:
D
`underset(xto0)lim((1-cos2x)(3+cosx))/(xtan4x)=underset(xto0)lim((2sin^(2)x)(3+cosx))/(x((tan4x)/(4x))xx4x)`
`=underset(xto0)lim (2sin^(2)x(3+cosx))/(4x^(4))`
`=(2)/(4)(3+1)=2`
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